Pith Number

pith:EFS2PBHR

pith:2025:EFS2PBHRV3Z7DYY2ATL6FVOI2B

not attested not anchored not stored refs pending

A Study of Directional Entropy Arising from \(\mathbb{Z} \times \mathbb{Z}_+\) Semigroup Actions

Hasan Akin

arxiv:2505.10428 v1 · 2025-05-15 · math.DS

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{EFS2PBHRV3Z7DYY2ATL6FVOI2B}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Cited by

1 paper in Pith

SearchEyes: Towards Frontier Multimodal Deep Search Intelligence via Search World Simulation

Receipt and verification

First computed	2026-07-05T11:03:38.211755Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

2165a784f1aef3f1e31a04d7e2d5c8d061cd5deaf3f0d747698fdc21add6b60c

Aliases

arxiv: 2505.10428 · arxiv_version: 2505.10428v1 · doi: 10.48550/arxiv.2505.10428 · pith_short_12: EFS2PBHRV3Z7 · pith_short_16: EFS2PBHRV3Z7DYY2 · pith_short_8: EFS2PBHR

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/EFS2PBHRV3Z7DYY2ATL6FVOI2B \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 2165a784f1aef3f1e31a04d7e2d5c8d061cd5deaf3f0d747698fdc21add6b60c

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "26ca284f7b45c82d75179ec44ecd46641defd0e399b56d6f9a5d046cccf2a1c3",
    "cross_cats_sorted": [],
    "license": "http://creativecommons.org/licenses/by/4.0/",
    "primary_cat": "math.DS",
    "submitted_at": "2025-05-15T15:47:06Z",
    "title_canon_sha256": "d28a123f8b766ee23b3517b4c6e1536cab0aebed960e4b9c2a8156f6d6eaa59b"
  },
  "schema_version": "1.0",
  "source": {
    "id": "2505.10428",
    "kind": "arxiv",
    "version": 1
  }
}